9809634625875 has 192 divisors, whose sum is σ = 20616462397440. Its totient is φ = 4395049113600.

The previous prime is 9809634625849. The next prime is 9809634625907. The reversal of 9809634625875 is 5785264369089.

It is a happy number.

9809634625875 is a `hidden beast` number, since 9 + 8 + 0 + 9 + 6 + 34 + 6 + 2 + 587 + 5 = 666.

It is not a de Polignac number, because 9809634625875 - 2³⁸ = 9534756718931 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78616786 + ... + 78741464.

It is an arithmetic number, because the mean of its divisors is an integer number (107377408320).

Almost surely, 2^{9809634625875} is an apocalyptic number.

9809634625875 is an abundant number, since it is smaller than the sum of its proper divisors (10806827771565).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9809634625875 is a wasteful number, since it uses less digits than its factorization.

9809634625875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124907 (or 124894 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 9809634625875 in words is "nine trillion, eight hundred nine billion, six hundred thirty-four million, six hundred twenty-five thousand, eight hundred seventy-five".